54191835200000 has 240 divisors, whose sum is σ = 136580699760120. Its totient is φ = 21477795840000.

The previous prime is 54191835199921. The next prime is 54191835200023. The reversal of 54191835200000 is 253819145.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4520012065024 + 49671823134976 = 2126032^2 + 7047824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174244634 + ... + 174555366.

Almost surely, 2^{54191835200000} is an apocalyptic number.

54191835200000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54191835200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68290349880060).

54191835200000 is an abundant number, since it is smaller than the sum of its proper divisors (82388864560120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54191835200000 is an frugal number, since it uses more digits than its factorization.

54191835200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310885 (or 310849 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 54191835200000 in words is "fifty-four trillion, one hundred ninety-one billion, eight hundred thirty-five million, two hundred thousand".